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Finding the Third Proportional to 8,205,381 and 17,855,640

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Solution

The third proportional to 8,205,381 and 17,855,640 is: 38,855,463.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205,381 : 17,855,640 = 17,855,640 : x
  2. Step 2: Convert to fraction form
    8,205,381/17,855,640 = 17,855,640/x
  3. Step 3: Cross multiply
    8,205,381x = 17,855,640 × 17,855,640
  4. Step 4: Simplify right side
    8,205,381x = 318,823,879,809,600
  5. Step 5: Solve for x
    x = 318,823,879,809,600/8,205,381
  6. Step 6: Final answer
    x = 38,855,463.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.